True False[1 Marks ]

Question 11 Mark

Write whether the following statements are True or False? Justify your answer: The statements that are proved are called axioms.

Answer

False.Solution:
Because the statements that are proved are called theorems.

View full question & answer→

Question 21 Mark

Write whether the following statements are True or False? Justify your answer:
The boundaries of the solids are curves.

Answer

False.

Solution:

The given statement is false because boundaries of solids are surfaces.

View full question & answer→

Question 31 Mark

Write whether the following statements are True or False? Justify your answer: “For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l” is known as Playfair’s axiom.

Answer

True.Solution:
The given statement is true, because it is an equivalent version of Euclid’s fifth postulate.

View full question & answer→

Question 41 Mark

Write whether the following statements are True or False$?$ Justify your answer: If a quantity $B$ is a part of another quantity $A,$ then $A$ can be written as the sum of $B$ and some third quantity $C.$

Answer

Since, it is one of the Euclid’s axioms.

View full question & answer→

Question 51 Mark

Write whether the following statements are True or False? Justify your answer: Two distinct intersecting lines cannot be parallel to the same line.

Answer

True.Solution:
The given statement is true, because it is an equivalent version of Euclid’s fifth postulate.

View full question & answer→

Question 61 Mark

Write whether the following statements are True or False? Justify your answer: Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.

Answer

True. Solution: All attempts to prove the fifth postulate as a theorem led to a great achievement in the creation of several other geometries. These geometries are quite different from Euclidean geometry and called non-Euclidean geometry.

View full question & answer→

Question 71 Mark

Write whether the following statements are True or False? Justify your answer: The edges of a surface are curves.

Answer

False.Solution:
The given statement is false because the edges of surfaces are line.

View full question & answer→

Question 81 Mark

Write whether the following statements are True or False? Justify your answer: The things which are double of the same thing are equal to one another.

View full question & answer→

Question 91 Mark

Write whether the following statements are True or False? Justify your answer: Euclidean geometry is valid only for curved surfaces.

Answer

False.Solution:
The given statement is false because Euclidean geometry is valid only for the figures in the plane.

View full question & answer→

Maths True False[1 Marks ]

Take a timed test